Shigeki Akiyama

1.9k total citations
88 papers, 974 citations indexed

About

Shigeki Akiyama is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Algebra and Number Theory. According to data from OpenAlex, Shigeki Akiyama has authored 88 papers receiving a total of 974 indexed citations (citations by other indexed papers that have themselves been cited), including 54 papers in Mathematical Physics, 52 papers in Computational Theory and Mathematics and 23 papers in Algebra and Number Theory. Recurrent topics in Shigeki Akiyama's work include Mathematical Dynamics and Fractals (46 papers), semigroups and automata theory (34 papers) and Cellular Automata and Applications (26 papers). Shigeki Akiyama is often cited by papers focused on Mathematical Dynamics and Fractals (46 papers), semigroups and automata theory (34 papers) and Cellular Automata and Applications (26 papers). Shigeki Akiyama collaborates with scholars based in Japan, Austria and Hungary. Shigeki Akiyama's co-authors include Jörg Μ. Thuswaldner, Yoshio Tanigawa, Attila Pethő, Hui Rao, Christiane Frougny, Vilmos Komornik, Jacques Sakarovitch, Klaus Scheicher, Wolfgang Steiner and Jun Luo and has published in prestigious journals such as Mathematics of Computation, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Shigeki Akiyama

80 papers receiving 846 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Shigeki Akiyama Japan	19	635	552	236	181	131	88	974
Michael Boshernitzan United States	16	537 0.8×	220 0.4×	82 0.3×	227 1.3×	32 0.2×	48	733
Elon Lindenstrauss Israel	21	1.4k 2.2×	339 0.6×	213 0.9×	767 4.2×	29 0.2×	59	1.5k
Chris Smyth United Kingdom	17	241 0.4×	266 0.5×	260 1.1×	380 2.1×	13 0.1×	59	751
Manfred Einsiedler United States	16	736 1.2×	158 0.3×	156 0.7×	404 2.2×	14 0.1×	60	848
Catherine H. Yan United States	13	159 0.3×	166 0.3×	206 0.9×	206 1.1×	14 0.1×	56	612
Rostislav Grigorchuk United States	17	836 1.3×	555 1.0×	136 0.6×	964 5.3×	12 0.1×	76	1.3k
Masayoshi Hata Japan	12	325 0.5×	132 0.2×	112 0.5×	134 0.7×	23 0.2×	35	643
Alain Valette Switzerland	19	1.2k 1.8×	152 0.3×	484 2.1×	785 4.3×	9 0.1×	69	1.4k
Joe Buhler United States	15	216 0.3×	121 0.2×	303 1.3×	344 1.9×	13 0.1×	40	662
V. E. Hoggatt United States	14	191 0.3×	189 0.3×	250 1.1×	212 1.2×	23 0.2×	89	781

Countries citing papers authored by Shigeki Akiyama

Since Specialization

Citations

This map shows the geographic impact of Shigeki Akiyama's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Shigeki Akiyama with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Shigeki Akiyama more than expected).

Fields of papers citing papers by Shigeki Akiyama

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Shigeki Akiyama. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Shigeki Akiyama. The network helps show where Shigeki Akiyama may publish in the future.

Co-authorship network of co-authors of Shigeki Akiyama

This figure shows the co-authorship network connecting the top 25 collaborators of Shigeki Akiyama. A scholar is included among the top collaborators of Shigeki Akiyama based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Shigeki Akiyama. Shigeki Akiyama is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Akiyama, Shigeki, et al.. (2025). Non-self-intersective Dragon curves. Indagationes Mathematicae.

Akiyama, Shigeki, et al.. (2025). An Alternative Proof for an Aperiodic Monotile. Discrete & Computational Geometry. 1 indexed citations

Akiyama, Shigeki & Hajime Kaneko. (2022). Curious congruences for cyclotomic polynomials. Research in Number Theory. 8(4). 1 indexed citations

Akiyama, Shigeki, et al.. (2018). A new variety of Impatiens radiata Hook. f. from Myanmar.. 44(4). 159–163. 1 indexed citations

Akiyama, Shigeki, et al.. (2017). Rotational beta expansion: ergodicity and soficness. Journal of the Mathematical Society of Japan. 69(1). 3 indexed citations

Akiyama, Shigeki, et al.. (2015). Characterisation of the numbers which satisfy the height reducing property. Terrestrial Environment Research Center (University of Tsukuba). 1 indexed citations

Akiyama, Shigeki, et al.. (2014). The computation of overlap coincidence in Taylor--Socolar substitution tiling. Osaka Journal of Mathematics. 51(3). 597–609. 1 indexed citations

Akiyama, Shigeki, et al.. (2014). Overlap coincidence to strong coincidence in substitution tiling dynamics. European Journal of Combinatorics. 39. 233–243. 4 indexed citations

Akiyama, Shigeki & Attila Pethő. (2014). On the distribution of polynomials with bounded roots, I. Polynomials with real coefficients. Journal of the Mathematical Society of Japan. 66(3). 10 indexed citations

10.

Akiyama, Shigeki, et al.. (2011). Boundary parametrization of self-affine tiles. Journal of the Mathematical Society of Japan. 63(2). 10 indexed citations

11.

Akiyama, Shigeki, et al.. (2010). Algorithm for determining pure pointedness of self-affine tilings. Advances in Mathematics. 226(4). 2855–2883. 19 indexed citations

12.

Akiyama, Shigeki, et al.. (2008). Generalized radix representations and dynamical systems III. Osaka Journal of Mathematics. 45(2). 347–374. 12 indexed citations

13.

Akiyama, Shigeki, et al.. (2007). Recursively renewable words and coding of irrational rotations. Journal of the Mathematical Society of Japan. 59(4). 1 indexed citations

14.

Akiyama, Shigeki, et al.. (2007). Probability and Number Theory — Kanazawa 2005. 3 indexed citations

15.

Akiyama, Shigeki & Klaus Scheicher. (2005). From Number Systems to Shift Radix Systems. Project Euclid (Cornell University). 16(2). 95–106. 10 indexed citations

16.

Akiyama, Shigeki. (2002). On the boundary of self affine tilings generated by Pisot numbers. Journal of the Mathematical Society of Japan. 54(2). 47 indexed citations

17.

Akiyama, Shigeki & Yoshio Tanigawa. (2001). Multiple Zeta Values at Non-Positive Integers. The Ramanujan Journal. 5(4). 327–351. 44 indexed citations

18.

Akiyama, Shigeki & Yoshio Tanigawa. (1999). Calculation of values of 𝐿-functions associated to elliptic curves. Mathematics of Computation. 68(227). 1201–1231. 14 indexed citations

19.

Akiyama, Shigeki. (1988). On the fourier coefficients of automorphic forms of triangle groups. Kobe University Repository Kernel (Kobe University). 5. 123–132.

20.

Akiyama, Shigeki. (1988). Selberg trace formula for odd weight, I. Proceedings of the Japan Academy Series A Mathematical Sciences. 64(9). 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact